Ghostbusters proves to us that games can employ gameplay-physics and effects-physics all calculated by the CPU, leaving the GPU free to handle what it is designed for: Graphics. NVIDIA has a vested interest in PhysX, and they push it rather aggressively. A Quad-Core CPU is vastly underutilized in a lot of games, since the focus has been on graphics, and video cards have become so powerful. GPUs are so powerful, in fact, that designers are looking for something more to do with them. NVIDIA and AMD both want general-purpose computing to be done on the GPU, and that is great. But NVIDIA wants to push PhysX on developers and consumers to sell more NVIDIA-based video cards, not to improve gameplay based physics.
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Basically, any NVIDIA GeForce GTX series video card, and any Radeon HD 4800 or 4700 series video card should be able to run Ghostbusters with the highest possible settings at a high resolution like 1920x1200. If you are on a budget, the Radeon HD 4770 would be a fantastic choice. You can buy one now for $104.99 USD plus shipping. If your means are more sympathetic to your gaming needs, a GeForce GTX 275 or a Radeon HD 4890 would be good options as well, and should give you some future-proofing, should AA support be miraculously worked out. You can buy a GeForce GTX 260 for $154.99 USD plus shipping after a $20 MIR, or a Radeon HD 4890 for $169.99 USD after a $20 MIR, and it comes with free shipping. Any way you slice it, you are going to receive a great gameplay experience in Ghostbusters on every current generation video card from AMD and NVIDIA.